What 2 square numbers subtract to make 808?

What two square numbers subtract to make 808? In other words, when you subtract one square number from another square number, the answer is 808. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 808

We solved the equation above and found this to be true:

103² - 99² = 808

103² is 10609 and 99² is 9801, therefore the answer to the question "What 2 square numbers subtract to make 808?" is 10609 and 9801 as illustrated below:

10609 - 9801 = 808

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 808. Below we list alternate solutions if available.

41209 - 40401 = 808

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